1354890240000 has 1680 divisors, whose sum is σ = 5581744457520. Its totient is φ = 328458240000.

The previous prime is 1354890239971. The next prime is 1354890240001. The reversal of 1354890240000 is 420984531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1354890240000 is a `hidden beast` number, since 1 + 3 + 548 + 90 + 24 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354890240001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 123171839995 + ... + 123171840005.

It is an arithmetic number, because the mean of its divisors is an integer number (3322466939).

Almost surely, 2^{1354890240000} is an apocalyptic number.

1354890240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354890240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790872228760).

1354890240000 is an abundant number, since it is smaller than the sum of its proper divisors (4226854217520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1354890240000 is an frugal number, since it uses more digits than its factorization.

1354890240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1354890240000 in words is "one trillion, three hundred fifty-four billion, eight hundred ninety million, two hundred forty thousand".